Hey there!
3(q + 34)= 2
First distribute:
3(q) + 3(34)
3(q) = 3q
3(34) = 102
New equation: 3q + 102 = 2
Subtract by 102 on each of your sides:
3q + 102 - 102 = 2 - 102
Cancel out: 102 - 102 because it gives us 0
Keep: 2 - 102 because it helps us solve for our q
2 - 102 = - 100
New equation: 3q = -100
Divide both sides by 3
3q/3 = -100/3
Cancel out: -3q/3 because it gives us 1
Keep: -100/3 because it gives us the answer for q
Answer: q = -100/3 ✅
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Answer:
It will take 39.27 gallons to repaint the barn.
Step-by-step explanation:
The image of the setup is obtained from online and attached to this solution.
The rectangular prism is a cuboid of
Length = 84 ft
Breadth = 38 ft
Height = 20 ft
And the triangular prism on top of the rectangular prism has a vertical height of 12 ft.
The surface area of the composite structure that is available for painting include the 4 sides of the top triangular prism and the four sides of rectangular prism
Two of the faces of the triangular prism are triangles with base of 38 ft and height of 12 ft.
The other two faces of the triangular prism are rectangles with length 84 ft and breadth of the hypoteneuse of the right angled triangle on top.
B² = 12² + 19²
B = 22.47 ft
Total Surface area of the faces of the rectangular prism is then
2×(84×20) + 2×(38×20) = 4880 ft²
Total surface area of the faces of the triangular prism is then
2×(0.5×12×38) + 2×(84×22.47) = 4,230.96 ft²
Total surface area = 4880 + 4230.96 = 9110.96 ft²
1 gallon of paint = 232 ft²
x gallons of paint = 9110.96 ft²
x = (1×9110.96/232) = 39.27 gallons.
Hope this Helps!!!
A car trip from New York to Cincinnati took 12.5 hours. The return trip by the same route took 1 hour longer.
Let x be the speed of the car
Car trip from New York to Cincinnati
We know Distance D = speed * time
time = 12.5 hours and speed =x
D = 12.5x
Return trip
The return trip by the same route took 1 hour longer. So 12.5+1 = 13.5 hours
he average rate of speed was 4 mph less. So speed is x-4
Distance D = speed * time
time = 13.5 hours and speed =x-4
D = (x-4)*13.5
D= 13.5x-54
The distance of ongoing trip and return trip are same
So we equate both the distance equations D= 13.5x-54 and D= 12.5x
12.5x = 13.5x-54
Subtract 13.5 on both sides
-1x = -54
x=54
speed of ongoing trip = 54 miles per hour
Distance D = 12.5x = 12.5 * 54=675 miles
The length of the route = 675 miles
Hello there!
The correct answer is option C
3x + 20x - 55 = -9
I am not sure if you wanted some more details but I hope this helps and if you do, just let me and I will edit it.
Good luck with your studies!
Happy New Year!~
927 because step by step is that everyone is because you
